Width = w
Length = w + 1
Area = 30
w(w+1) = 30
w² + w = 30
w² + w - 30 = 0
w² + 6w - 5w - 30 = 0
w(w + 6) -5(w + 6) = 0
(w + 6)(w - 5) = 0
w = 5 or -6
Since the width cannot be negative, the width is 5 units.
Hence, the width is 5 units and the length is 6 units.
Answer:
ΔA'B'C' is a reduction of ΔABC and ΔA'B'C' is similar to ΔABC.
Step-by-step explanation:
It is given that the triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4.
If a figure is dilated then preimage and image are similar.
If scale factor is between 0 to 1, then preimage is reduction of image.
If scale factor is more that 1, then preimage is enlargement of image.
If scale factor is 1, then preimage is congruent to the image.
We know that
So,
Therefore, the ΔA'B'C' is a reduction of ΔABC and ΔA'B'C' is similar to ΔABC.
43 and 44, but it's closer to 43
Answer:
1. yes
2. NO
3.NO
4.NO
Step-by-step explanation:
Complete question:
Kyle incorrectly says that the product of - ( - 6 ) # ( - 1 ) is 6 . 11. After a recycling awareness program, the number of tons of recyclable material taken to the landfill is reduced by 13 7/10 tons per month. Represent the total change in the tons of recyclable material taken to the landfill after 7 months resulting from the awareness program a. What is the correct product? 10 month. Represent the total change in the b. What was Kyle's likely error?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Kyle incorrectly says that the product of - ( - 6 ) ( - 1 ) is 6
-(-6)(-1) = 6 [incorrect]
Correction:
-(-6) (-1) :
- (-6) = 6
6 (-1) = - 6
Given that reduction in materials = 13 7/10 tons per month
Monthly reduction = 13 7/10 = 137/10 tons
After 7 months : (7 * 137/10) = 959/10 tons = 95.9 tons
Change in amount of material taken to the land fill:
Initial amount - amount after 7 months
If initial amount = x
Change in amonnt = (x - 95.9) tons
